The 71st Midwest Partial Differential Equations Seminar May 11-12, 2013 Room TBA East Hall University of Michigan Ann Arbor, MI   Abstract Detail   Title: New heat kernel estimates on Riemannian manifolds with negative curvature Apply the Li-Yau type Harnack estimates for the heat equations on manifolds with negative Ricci curvature by Junfang Li and author [Advance in Mathematics 226(5) (2011)4456-4491], I prove a better upper bound estimate for the heat kernel of manifolds with negative Ricci curvature without $epsilon$-loss, while there were $epsilon$ -loss for the heat kernel upper bound estimates (Theorem 3.2) in the seminal work of Li-Yau [Acta Math. 156 (1986) 153-201.] due to non sharp Harnack estimates on manifolds with negative Ricci curvature. Xiangjin Xu Binghamton University - SUNY Email:  xxu@math.binghamton.edu Phone: 607-777-2514   BACK to Speaker Listing BACK to Conference Home   Sponsors National Science Foundation, Department of Mathematics at the University of Michigan